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Finding the Fourth Proportional to 2,663.01, 3,986.29 and 1,736.57

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Solution

The fourth proportional to 2,663.01, 3,986.29 and 1,736.57 is: 2,599.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.01 : 3,986.29 = 1,736.57 : x
  2. Step 2: Convert to fraction form
    2,663.01/3,986.29 = 1,736.57/x
  3. Step 3: Cross multiply
    2,663.01x = 3,986.29 × 1,736.57
  4. Step 4: Simplify right side
    2,663.01x = 6,922,471.63
  5. Step 5: Solve for x
    x = 6,922,471.63/2,663.01
  6. Step 6: Final answer
    x = 2,599.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.